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Helga [31]
3 years ago
14

10. Two angles are supplementary. The smaller angle is 201° less than twice the larger angle. What is the measure of the

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

Answer:

The larger angle is 127 degrees

Step-by-step explanation:

Given

Represent the two angles with a and b

a = 2b - 201

Required

Determine a and b

Since a and b are supplementary, then:

a + b = 180

Substitute 2b - 201 for a

2b - 201 + b = 180

Collect Like Terms

2b + b = 180 + 201

3b = 381

b = 381/3

b = 127

Recall that

a = 2b - 201

a = 2 * 127 - 201

a = 254- 201

a = 53

Hence:

<em>The angles are 53 and 127 degrees, respectively</em>

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